452242241642240 has 288 divisors, whose sum is σ = 1269370006482816. Its totient is φ = 151134130667520.

The previous prime is 452242241642231. The next prime is 452242241642297. The reversal of 452242241642240 is 42246142242254.

It is a junction number, because it is equal to n+sod(n) for n = 452242241642191 and 452242241642200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400961324 + ... + 402087636.

It is an arithmetic number, because the mean of its divisors is an integer number (4407534744732).

Almost surely, 2^{452242241642240} is an apocalyptic number.

452242241642240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452242241642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634685003241408).

452242241642240 is an abundant number, since it is smaller than the sum of its proper divisors (817127764840576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

452242241642240 is a wasteful number, since it uses less digits than its factorization.

452242241642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127475 (or 1127461 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 44.

Adding to 452242241642240 its reverse (42246142242254), we get a palindrome (494488383884494).

The spelling of 452242241642240 in words is "four hundred fifty-two trillion, two hundred forty-two billion, two hundred forty-one million, six hundred forty-two thousand, two hundred forty".